{"id":"https://openalex.org/W1500674647","doi":"https://doi.org/10.1007/978-3-540-45085-6_36","title":"A Principle for Incorporating Axioms into the First-Order Translation of Modal Formulae","display_name":"A Principle for Incorporating Axioms into the First-Order Translation of Modal Formulae","publication_year":2003,"publication_date":"2003-01-01","ids":{"openalex":"https://openalex.org/W1500674647","doi":"https://doi.org/10.1007/978-3-540-45085-6_36","mag":"1500674647"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-540-45085-6_36","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-45085-6_36","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5037583341","display_name":"Renate A. Schmidt","orcid":"https://orcid.org/0000-0002-6673-3333"},"institutions":[{"id":"https://openalex.org/I28407311","display_name":"University of Manchester","ror":"https://ror.org/027m9bs27","country_code":"GB","type":"education","lineage":["https://openalex.org/I28407311"]},{"id":"https://openalex.org/I4210109712","display_name":"Max Planck Institute for Informatics","ror":"https://ror.org/01w19ak89","country_code":"DE","type":"facility","lineage":["https://openalex.org/I149899117","https://openalex.org/I4210109712"]}],"countries":["DE","GB"],"is_corresponding":false,"raw_author_name":"Renate A. Schmidt","raw_affiliation_strings":["Max Planck Institute for Computer Science, Saarbr\u00fccken","University of Manchester, \u00a0","University of Manchester","Max Planck Institute for Computer Science"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Max Planck Institute for Computer Science, Saarbr\u00fccken","institution_ids":["https://openalex.org/I4210109712"]},{"raw_affiliation_string":"University of Manchester, \u00a0","institution_ids":["https://openalex.org/I28407311"]},{"raw_affiliation_string":"University of Manchester","institution_ids":["https://openalex.org/I28407311"]},{"raw_affiliation_string":"Max Planck Institute for Computer Science","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5076121047","display_name":"Ullrich Hustadt","orcid":"https://orcid.org/0000-0002-0455-0267"},"institutions":[{"id":"https://openalex.org/I146655781","display_name":"University of Liverpool","ror":"https://ror.org/04xs57h96","country_code":"GB","type":"education","lineage":["https://openalex.org/I146655781"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Ullrich Hustadt","raw_affiliation_strings":["University of Liverpool, \u00a0","#N##TAB##TAB##TAB##TAB# University of Liverpool#N##TAB##TAB##TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Liverpool, \u00a0","institution_ids":["https://openalex.org/I146655781"]},{"raw_affiliation_string":"#N##TAB##TAB##TAB##TAB# University of Liverpool#N##TAB##TAB##TAB#","institution_ids":["https://openalex.org/I146655781"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":3.5943,"has_fulltext":false,"cited_by_count":36,"citation_normalized_percentile":{"value":0.93170426,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"412","last_page":"426"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10215","display_name":"Semantic Web and Ontologies","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10456","display_name":"Multi-Agent Systems and Negotiation","score":0.9948999881744385,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/soundness","display_name":"Soundness","score":0.8002254366874695},{"id":"https://openalex.org/keywords/axiom","display_name":"Axiom","score":0.7004323601722717},{"id":"https://openalex.org/keywords/decidability","display_name":"Decidability","score":0.6439012885093689},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6341062188148499},{"id":"https://openalex.org/keywords/translation","display_name":"Translation (biology)","score":0.588032066822052},{"id":"https://openalex.org/keywords/modal","display_name":"Modal","score":0.5776579976081848},{"id":"https://openalex.org/keywords/axiomatic-system","display_name":"Axiomatic system","score":0.5658034682273865},{"id":"https://openalex.org/keywords/modal-logic","display_name":"Modal logic","score":0.5260947942733765},{"id":"https://openalex.org/keywords/completeness","display_name":"Completeness (order theory)","score":0.5130914449691772},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.44745391607284546},{"id":"https://openalex.org/keywords/transitive-relation","display_name":"Transitive relation","score":0.42921534180641174},{"id":"https://openalex.org/keywords/automated-theorem-proving","display_name":"Automated theorem proving","score":0.4120520353317261},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.39905235171318054},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.36275532841682434},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3419358730316162},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3265649974346161},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.28925150632858276},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.11955270171165466},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.11221423745155334}],"concepts":[{"id":"https://openalex.org/C39920170","wikidata":"https://www.wikidata.org/wiki/Q693083","display_name":"Soundness","level":2,"score":0.8002254366874695},{"id":"https://openalex.org/C167729594","wikidata":"https://www.wikidata.org/wiki/Q17736","display_name":"Axiom","level":2,"score":0.7004323601722717},{"id":"https://openalex.org/C153269930","wikidata":"https://www.wikidata.org/wiki/Q430001","display_name":"Decidability","level":2,"score":0.6439012885093689},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6341062188148499},{"id":"https://openalex.org/C149364088","wikidata":"https://www.wikidata.org/wiki/Q185917","display_name":"Translation (biology)","level":4,"score":0.588032066822052},{"id":"https://openalex.org/C71139939","wikidata":"https://www.wikidata.org/wiki/Q910194","display_name":"Modal","level":2,"score":0.5776579976081848},{"id":"https://openalex.org/C125773388","wikidata":"https://www.wikidata.org/wiki/Q792542","display_name":"Axiomatic system","level":3,"score":0.5658034682273865},{"id":"https://openalex.org/C27508121","wikidata":"https://www.wikidata.org/wiki/Q210841","display_name":"Modal logic","level":3,"score":0.5260947942733765},{"id":"https://openalex.org/C17231256","wikidata":"https://www.wikidata.org/wiki/Q5156540","display_name":"Completeness (order theory)","level":2,"score":0.5130914449691772},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.44745391607284546},{"id":"https://openalex.org/C191399111","wikidata":"https://www.wikidata.org/wiki/Q64861","display_name":"Transitive relation","level":2,"score":0.42921534180641174},{"id":"https://openalex.org/C206880738","wikidata":"https://www.wikidata.org/wiki/Q431667","display_name":"Automated theorem proving","level":2,"score":0.4120520353317261},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.39905235171318054},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.36275532841682434},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3419358730316162},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3265649974346161},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.28925150632858276},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.11955270171165466},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.11221423745155334},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C105580179","wikidata":"https://www.wikidata.org/wiki/Q188928","display_name":"Messenger RNA","level":3,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0},{"id":"https://openalex.org/C188027245","wikidata":"https://www.wikidata.org/wiki/Q750446","display_name":"Polymer chemistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-540-45085-6_36","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-45085-6_36","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions","score":0.4399999976158142}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":44,"referenced_works":["https://openalex.org/W1483339275","https://openalex.org/W1483892218","https://openalex.org/W1488853201","https://openalex.org/W1498675708","https://openalex.org/W1499911527","https://openalex.org/W1500674647","https://openalex.org/W1506030860","https://openalex.org/W1513576223","https://openalex.org/W1520142181","https://openalex.org/W1526350529","https://openalex.org/W1527720545","https://openalex.org/W1527855512","https://openalex.org/W1531495956","https://openalex.org/W1535742555","https://openalex.org/W1541862339","https://openalex.org/W1552559776","https://openalex.org/W1553145376","https://openalex.org/W1558518027","https://openalex.org/W1562775594","https://openalex.org/W1575826876","https://openalex.org/W1579024140","https://openalex.org/W1596067335","https://openalex.org/W1603162778","https://openalex.org/W1697494518","https://openalex.org/W1727899138","https://openalex.org/W1863407693","https://openalex.org/W1970040536","https://openalex.org/W1994476007","https://openalex.org/W1995398260","https://openalex.org/W1999997889","https://openalex.org/W2082313938","https://openalex.org/W2084802994","https://openalex.org/W2113030260","https://openalex.org/W2123433341","https://openalex.org/W2127363472","https://openalex.org/W2145683739","https://openalex.org/W2146427628","https://openalex.org/W2163191319","https://openalex.org/W2163751633","https://openalex.org/W2164389533","https://openalex.org/W2173219234","https://openalex.org/W2604667307","https://openalex.org/W2610670723","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W1511249877","https://openalex.org/W2466303427","https://openalex.org/W1578828174","https://openalex.org/W2000943029","https://openalex.org/W2950376466","https://openalex.org/W1969483203","https://openalex.org/W4302559785","https://openalex.org/W4226437312","https://openalex.org/W2272231869","https://openalex.org/W47107507"],"abstract_inverted_index":null,"counts_by_year":[{"year":2019,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
